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The Relationship Between the Shape of Freak Waves and Nonlinear Wave Interactions

[+] Author Affiliations
Wataru Fujimoto, Takuji Waseda

University of Tokyo, Kashiwa, Japan

Paper No. OMAE2016-54768, pp. V003T02A003; 7 pages
doi:10.1115/OMAE2016-54768
From:
  • ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering
  • Volume 3: Structures, Safety and Reliability
  • Busan, South Korea, June 19–24, 2016
  • Conference Sponsors: Ocean, Offshore and Arctic Engineering Division
  • ISBN: 978-0-7918-4994-1
  • Copyright © 2016 by ASME

abstract

The local shapes of freak waves are essential to estimate responses of ships or offshore structures by freak waves for limit state design or maritime accident survey. It is known that freak waves deform like a crescent and their trough depth become asymmetric in directional and irregular wave fields. Meanwhile, Class I & II instabilities also affect wave shape.

We discussed how those instabilities affect the geometry of freak waves, using Higher Order Spectrum Method (HOSM) which is a fast simulator of water wave. This paper investigated the relationship between Class I & II instabilities and the nonlinear order of HOSM to separate the effects of the different order nonlinear instabilities on freak waves. This investigation and freak wave simulations by HOSM clarified that four-wave Class I instability with finite width wave spectra affected both the crescent deformation and the asymmetry. The results showed that Class II instability effects to the freak wave shapes were not significant.

Copyright © 2016 by ASME

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